English

Ultrametric structure of multiscale energy correlations in turbulent models

chao-dyn 2009-10-30 v1 Chaotic Dynamics

Abstract

Ultrametric structure of the energy cascade process in a dynamical model of turbulence is studied. The tree model we use can be viewed as an approximated one-dimensional truncation of the wavelets resolved Navier-Stokes dynamics. Varying the tree connectiveness, the appearance of a scaling transition in the two-points moments of energy dissipation is detected, in agreement with experimental turbulent data.

Keywords

Cite

@article{arxiv.chao-dyn/9705018,
  title  = {Ultrametric structure of multiscale energy correlations in turbulent models},
  author = {R. Benzi and L. Biferale and E. Trovatore},
  journal= {arXiv preprint arXiv:chao-dyn/9705018},
  year   = {2009}
}